What is the Greatest Common Factor of 69121 and 69134?

Greatest common factor (GCF) of 69121 and 69134 is 13.

GCF(69121,69134) = 13

We will now calculate the prime factors of 69121 and 69134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69121 and 69134.

How to find the GCF of 69121 and 69134?

We will first find the prime factorization of 69121 and 69134. After we will calculate the factors of 69121 and 69134 and find the biggest common factor number .

Step-1: Prime Factorization of 69121

Prime factors of 69121 are 13, 409. Prime factorization of 69121 in exponential form is:

69121 = 13² × 409¹

Step-2: Prime Factorization of 69134

Prime factors of 69134 are 2, 13, 2659. Prime factorization of 69134 in exponential form is:

69134 = 2¹ × 13¹ × 2659¹

Step-3: Factors of 69121

List of positive integer factors of 69121 that divides 69121 without a remainder.

1, 13, 169, 409, 5317

Step-4: Factors of 69134

List of positive integer factors of 69134 that divides 69121 without a remainder.

1, 2, 13, 26, 2659, 5318, 34567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69121 and 69134. The biggest common factor number is the GCF number.
So the greatest common factor 69121 and 69134 is 13.

Also check out the Least Common Multiple of 69121 and 69134